Dynamic disturbance decoupling for nonlinear systems

In analogy with the dynamic input-output decoupling problem the dynamic disturbance decoupling problem for nonlinear systems is introduced. A local solution of this problem is obtained in the case that the system under consideration is invertible. The solution is given in algebraic as well as in geometric terms. The theory is illustrated by means of two examples: a mathematical one and an example of a voltage frequency controlled induction motor. Key words, nonlinear control systems, dynamic disturbance decoupling, invertibility, dynamic precompensation AMS(MOS) subject classifications. 93C10, 93B50, 93C35

[1]  A. Isidori,et al.  Nonlinear decoupling via feedback: A differential geometric approach , 1981 .

[2]  Claude H. Moog,et al.  Nonlinear decoupling and structure at infinity , 1988, Math. Control. Signals Syst..

[3]  H.,et al.  Minimality of dynamic input-output decoupling for nonlinear systems , 2002 .

[4]  H. Nijmeijer,et al.  Zeros at infinity for affine nonlinear control systems , 1985 .

[5]  G. Ulivi,et al.  Dynamical decoupling of voltage frequency controlled induction motors , 1988 .

[6]  Jessy W. Grizzle,et al.  Rank invariants of nonlinear systems , 1989 .

[7]  G. Basile,et al.  Controlled and conditioned invariant subspaces in linear system theory , 1969 .

[8]  R. Hirschorn.  $(A,\mathcal{B})$-Invariant Distributions and Disturbance Decoupling of Nonlinear Systems , 1981 .

[9]  R. Hirschorn.  Invertibility of multivariable nonlinear control systems , 1979 .

[10]  Henk Nijmeijer,et al.  Dynamic disturbance decoupling for nonlinear systems: the nonsquare and noninvertible case , 1991 .

[11]  Alberto Isidori,et al.  The matching of nonlinear models via dynamic state feedback , 1984, The 23rd IEEE Conference on Decision and Control.

[12]  Generalized Decoupled Control Synthesis for Invertible Nonlinear Systems , 1981 .

[13]  A. Schaft.  Observability and Controllability for Smooth Nonlinear Systems , 1982 .

[14]  Sahjendra N. Singh.  A modified algorithm for invertibility in nonlinear systems , 1981 .

[15]  S. P. Bhattacharyyta.  Disturbance rejection in linear systems , 1974 .

[16]  Claude H. Moog,et al.  Model matching and factorization for nonlinear systems: a structural approach , 1991 .

[17]  J. W. van der Woude,et al.  On the structure at infinity of a structured system , 1991 .